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3x=2\times 2.7
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x.
3x=5.4
Multiply 2 and 2.7 to get 5.4.
x=\frac{5.4}{3}
Divide both sides by 3.
x=\frac{54}{30}
Expand \frac{5.4}{3} by multiplying both numerator and the denominator by 10.
x=\frac{9}{5}
Reduce the fraction \frac{54}{30} to lowest terms by extracting and canceling out 6.